Question

how many leaders competes in all 3 dances?

how many leaders competed in exactly one of the three courses?

how many leaders competed in foxtrot but not waltz?

how many leaders did not compete in waltz?

how many leaders competed in walts and quickstep or competed in foxtrot and quickstep but did not compete in all three?

how mant leaders competed in waltz, foxtrot or quickstep?

how many leaders didnt compete in any of the three dances?

how many leaders didnt compete in quickstep or did compete in quickstep and waltz?

b) Now, complete the simplified survey Venn diagram below, indicating only the cardinality of each region: Waltz Foxtrot IV. VIL VIII. Quickstep

Answer 1

I tried my best to give as many answers I can give in the provided time to me. ( As statistics part is very lengthy in it). I hope you like it. Please comment if you have any doubt, I will try to reply. I f you like it please give thumbs up.

I Given Table 7 = rovides the identification namhet for each sample of couples Table 2 z Provides details of casious treats organized among 3 tyre of dance style 1. Waltz [Meat - 52,55,58,61] 2. Foxtrot [ Heat - 53, 56, 59, 62 ] 3. quickstep [Heat - 56, 57, 60,63] Now

Representation of Regions: Region I - Only Waltz Region II - Waltzt fortrot Region Ith - Only Fortrot Region TV - Waltz & quickstep Region I - Welltzt Fostrot & quickstep Region VI - Fortbot & quickstep Region VI - Only quickstep Region vilt - None

Region I: 41477 Region II: 4170, 196, 199, 242) Region Illah 112, 159, 193,2117 Region II : £130, 147, 187, 246, 252, 2847 Region Iih 103, 105, 117, 122, 152, 176,207, 227, 2587 Region VI: 2116, 178, 216, 22h, 249, 2707 Region of a 139,184, 237, 275,2813 Region VI: 2126, 165,204, 230, 267}

b)

b) Region I Region II Region II Region II Region I Region ff Region VII - - 4 - 4 - - a - 6 - 5 Region ut -5

c) to f)

c) All three dances - Region I » 9 d Exactly 2) Region >) 1 - 10 one of 3 dances It Region Itt t Region VIP + 5 + 5 e - - for thot but not waltz Region Illat Region V hab Not compete in Watta » Total - Region (It It & TV & I ) hor (ltht6 + 9) S no-20 => 20 ar uthtoauiskstan